Cotorsion pairs in categories of quiver representations

We study the category Rep(Q,M) of representations of a quiver Q with values in an abelian category M. Under certain assumptions, we show that every cotorsion pair (A,B) in M induces two (explicitly described) cotorsion pairs (Φ(A),Rep(Q,B)) and (Rep(Q,A),Ψ(B)) in Rep(Q,M). This is akin to a result by Gillespie, which asserts that a cotorsion pair (A,B) in M induces cotorsion pairs (A˜,dgB˜) and (dgA˜,B˜) in the category Ch(M) of chain complexes in M. Special cases of our results recover descriptions of the projective and injective objects in Rep(Q,M) proved by Enochs, Estrada, and García Rozas.